Question

Will fan and medal!! Any help highly appreciated!!!

Find angle D for angle B = 65 degrees. The figure below is not drawn to scale.

- 50 degrees
-115 degrees
-57.5 degrees
-100 degrees

Answer 1

@jim_thompson5910 Could you possibly help? (:

Answer 2

@Hero Do you think you could help?

Answer 3

angle B is an inscribed angle

using the inscribed angle theorem, what is the measure of minor arc AC

Answer 4

How do I find out? This is on a review that I didn't go over in class, so I'm a little lost.

Answer 5

You mean this?

Answer 6

If so, then the minor arc AC would be 47.5.

Answer 7

according to the inscribed angle theorem, you double the inscribed angle to get the arc the inscribed angle cuts off

Answer 8

Which is 130.

Answer 9

so we know the central angle AOC = 130 degrees

let O be the center point of the circle

Answer 10

so drawing it out gives us this

Answer 11

AOCD is a quadrilateral

all quadrilaterals have all 4 angles that add to 360, so we now know that

90 + 130 + 90 + x = 360

Answer 12

x = 50!

Answer 13

yep, x = 50

Answer 14

Oh I see. Thank you so much @tcarroll010 for the alternative way to solve the problem!! Very much appreciated.

Thank you as well, @jim_thompson5910, I now fully understand how to solve it. (: